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Finding the Fourth Proportional to 297.28, 409.48 and 209.80

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Solution

The fourth proportional to 297.28, 409.48 and 209.80 is: 288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.28 : 409.48 = 209.80 : x
  2. Step 2: Convert to fraction form
    297.28/409.48 = 209.80/x
  3. Step 3: Cross multiply
    297.28x = 409.48 × 209.80
  4. Step 4: Simplify right side
    297.28x = 85,908.90
  5. Step 5: Solve for x
    x = 85,908.90/297.28
  6. Step 6: Final answer
    x = 288.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.